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Q.

A body is released from the top of a smooth inclined plane of inclination θ. It reaches the bottom with velocity v . If the angle of inclination is doubled for the same length of the plane, what will be the velocity of the body on reaching the ground:

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a

2v

b

2sinθ1/2v

c

2cosθ1/2v

d

v

answer is C.

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Detailed Solution

v=2gssinθ

v′=2gssin2θ=2gs(2sinθcosθ)

=​2gssinθ2cosθ ​= 2cosθ1/2v

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